10041104000000 has 308 divisors, whose sum is σ = 25446443031360. Its totient is φ = 3959424000000.

The previous prime is 10041103999991. The next prime is 10041104000003. The reversal of 10041104000000 is 40114001.

It is not an unprimeable number, because it can be changed into a prime (10041104000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1135995581 + ... + 1136004419.

Almost surely, 2^{10041104000000} is an apocalyptic number.

10041104000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723221515680).

10041104000000 is an abundant number, since it is smaller than the sum of its proper divisors (15405339031360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10041104000000 is an frugal number, since it uses more digits than its factorization.

10041104000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8960 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10041104000000 its reverse (40114001), we get a palindrome (10041144114001).

The spelling of 10041104000000 in words is "ten trillion, forty-one billion, one hundred four million", and thus it is an aban number.